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Let [x] denote the greatest integer less than or equal to x. If x = $(\sqrt{3} + 1)^{5}$ then [x] is equal to

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Correct option is D

x=(3+1)5=(3)5+5C1(3)4+5C2(3)3 +5C3(3)2+5C4(3)+5C5 =93+45+303+30+53+1=76+443∴ [x]=(3+1)5=(76+443)=(76)+(44×1.732)=76+(76.2)=76+76=152

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Let [x] denote the greatest integer less than or equal to x. If x = (3+1)5 then [x] is equal to

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Let [x] denote the greatest integer less than or equal to x. If x = $(\sqrt{3} + 1)^{5}$ then [x] is equal to